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arXiv 2402.02470hep-phhep-ex
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在 Belle II 和 LHCb 上探测量子退相干

Probing quantum decoherence at Belle II and LHCb

Ashutosh Kumar Alok, Subhashish Banerjee, Neetu Raj Singh Chundawat, S. Uma Sankar

AI总结:

本文建立保迹 Kraus 算符形式体系,以单一参数描述 B 介子系统的量子退相干,并识别多种衰变中的敏感可观测量,为 Belle II 和 LHCb 设定约束提供新途径。

摘要:

随着 Belle II 与 LHCb 升级的到来,对各种 B 物理可观测量进行精密测量已成为可能。这在深入探索电弱相互作用标准模型之外的物理方面具有重大潜力。这些测量还可用于对发生在更精细长度尺度上的现象设定限制,例如量子退相干;该现象可能源于时空的潜在离散性或非平凡拓扑效应。在本工作中,我们建立了一套形式体系,用于研究量子退相干对 B 介子系统中若干潜在可观测量的影响。该方法采用保迹 Kraus 算符形式体系,在保持完全正性的同时,将幺正演化扩展到非幺正动力学。在该形式体系中,退相干效应由单个参数进行参数化。通过分析 B 介子的纯轻子衰变、半轻子衰变和非轻子衰变,我们识别出原则上可能受到退相干影响的可观测量。所给出的理论表达式没有忽略衰变宽度差(ΔΓ)以及混合过程中 CP 破坏的影响。考虑到其中许多可观测量都可利用 LHCb 和 Belle II 收集的大量数据进行高精度测量,我们的形式体系可用于通过多个衰变通道对退相干参数建立约束。这为此类研究提供了一种替代框架;目前,这类研究主要在中微子领域开展。

英文摘要:

With the advent of Belle II and the LHCb upgrade, the precision measurements of various B-Physics observables are on cards. This holds significant potential for delving into physics beyond the standard model of electroweak interactions. These measurements can also serve as means to establish limits on phenomena occurring at much finer length scales, such as quantum decoherence, which may arise due to potential discreteness in space-time or non-trivial topological effects. In this work, we set up the formalism to investigate the impact of quantum decoherence on several potential observables in $B$ meson systems. The approach employs the trace-preserving Kraus operator formalism, extending unitary evolution to non-unitary dynamics while maintaining complete positivity. In this formalism, the decoherence effects are parametrized in terms of a single parameter. Through the analysis of purely leptonic, semileptonic, and non-leptonic decays of $B$ mesons, we identify observables that could, in principle, be influenced by decoherence. The theoretical expressions are provided without neglecting the impact of decay width difference ($ΔΓ$) and $CP$ violation in mixing. Considering that many of these observables can be measured with high precision using the abundant data collected by LHCb and Belle II, our formalism can be applied to establish constraints on the decoherence parameter through multiple decay channels. This offers an alternative set-up for such studies, which, at present, are predominantly conducted in the neutrino sector.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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